Question

Dadas a matrizes A = -3 5 2 6 4 8
B= -8 -9 12 45 6 -3
Calcule A+B A-B

ajudem a amiguinha pf​

Answer 1

As respostas são respectivamente:

$\large\begin{array}{lr}\sf A+B = \left[\begin{array}{ccc}-11&-4\\14&51\\10&5\end{array}\right] \end{array}$

$\large\begin{array}{lr}\sf A-B = \left[\begin{array}{ccc}5&14\\-10&-39\\-2&11\end{array}\right] \end{array}$

Para que possamos somar ou subtrair matrizes basta somarmos ou subtrairmos termos que estejam na mesma posição em ambas as matrizes. Veja abaixo a resolução de sua questão.

$\large\begin{array}{lr}\sf A = \left[\begin{array}{ccc}-3&5\\2&6\\4&8\end{array}\right] + B = \left[\begin{array}{ccc}-8&-9\\12&45\\6&-3\end{array}\right]\end{array}$

$\large\begin{array}{lr}\sf A+B = \left[\begin{array}{ccc}-3+(-8)&5+(-9)\\2+12&6+45\\4+6&8+(-3)\end{array}\right] \end{array}$

$\large\begin{array}{lr}\boxed{\boxed{\sf A+B = \left[\begin{array}{ccc}-11&-4\\14&51\\10&5\end{array}\right] }}\end{array}$

$\large\begin{array}{lr}\sf A = \left[\begin{array}{ccc}-3&5\\2&6\\4&8\end{array}\right] - B = \left[\begin{array}{ccc}-8&-9\\12&45\\6&-3\end{array}\right]\end{array}$

$\large\begin{array}{lr}\sf A-B = \left[\begin{array}{ccc}-3-(-8)&5-(-9)\\2-12&6-45\\4-6&8-(-3)\end{array}\right] \end{array}$

$\large\begin{array}{lr}\boxed{\boxed{\sf A-B = \left[\begin{array}{ccc}5&14\\-10&-39\\-2&11\end{array}\right]}} \end{array}$

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Espero ter ajudado.

Bons estudos.

• Att. FireClassis.